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Solve for a, b, c
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a=-b
Solve a+b=0 for a.
-b+c=0
Substitute -b for a in the equation a+c=0.
b=-c c=b
Solve the second equation for b and the third equation for c.
c=-c
Substitute -c for b in the equation c=b.
c=0
Solve c=-c for c.
b=-0
Substitute 0 for c in the equation b=-c.
b=0
Calculate b from b=-0.
a=-0
Substitute 0 for b in the equation a=-b.
a=0
Calculate a from a=-0.
a=0 b=0 c=0
The system is now solved.